What is the opposite and reciprocal of 6/5?

1 Answer
Jun 23, 2015

Answer:

The opposite of #6/5# is #-6/5#

The reciprocal of #6/5# is #5/6#

Explanation:

The opposite of a number is its additive inverse.

In our example:

#6/5 + -6/5 = 0#

In general, the opposite of #x# is #-x#.

If you think of these two numbers sitting on the real line, then they are on opposite sides of the origin, #0#, at the same distance.

The reciprocal of a number is its multiplicative inverse.

In our example:

#6/5 * 5/6 = 1#

In general, the reciprocal of #x# is #1/x#.

Notice that the reciprocal of #0# is undefined - #0# has no multiplicative inverse.